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257461130 = 25292273911
BaseRepresentation
bin11110101100010…
…00101110001010
3122221110101021102
433112020232022
51011402224010
641314141402
76244245353
oct1726105612
9587411242
10257461130
1112236a3a3
1272281862
1341455784
142629cd2a
1517909ba5
hexf588b8a

257461130 has 32 divisors (see below), whose sum is σ = 481645440. Its totient is φ = 98969920.

The previous prime is 257461129. The next prime is 257461147. The reversal of 257461130 is 31164752.

257461130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 257461093 and 257461102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63875 + ... + 67785.

It is an arithmetic number, because the mean of its divisors is an integer number (15051420).

Almost surely, 2257461130 is an apocalyptic number.

257461130 is a deficient number, since it is larger than the sum of its proper divisors (224184310).

257461130 is a wasteful number, since it uses less digits than its factorization.

257461130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 257461130 is about 16045.5953457639. The cubic root of 257461130 is about 636.1661502408.

The spelling of 257461130 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 29 58 145 227 290 454 1135 2270 3911 6583 7822 13166 19555 32915 39110 65830 113419 226838 567095 887797 1134190 1775594 4438985 8877970 25746113 51492226 128730565 257461130